BOUNDEDNESS OF SINGULAR INTEGRALS AND MAXIMAL SINGULAR INTEGRALS ON TRIEBEL–LIZORKIN SPACES

DOI10.1142/S0129167X10005982zbMath1190.42006MaRDI QIDQ5306093

Jiecheng Chen, Chun Jie Zhang

Publication date: 29 March 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

rough kernelsingular integralTriebel-Lizorkin space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (6)

Rough singular integrals associated to polynomial curves ⋮ A new class of weights adapted to rough singular integrals and Marcinkiewicz integrals ⋮ Boundedness of oscillatory singular integrals with rough kernels on Triebel-Lizorkin spaces ⋮ Rough Singular Integral Operators along Submanifolds ⋮ Unnamed Item ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces

Cites Work

• Unnamed Item
• Boundedness of certain commutators on Triebel-Lizorkin spaces
• Rough singular integrals on Triebel-Lizorkin space and Besov space
• Theory of function spaces II
• Singular integral operators on function spaces
• A class of bounded operators on Sobolev spaces
• Boundedness of rough singular integral operators on the Triebel-Lizorkin spaces
• Boundedness of rough oscillatory singular integral on Triebel--Lizorkin spaces
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• Commutators Estimates on Triebel–Lizorkin Spaces

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